Question

x²+2+1/x²,Determine whether the given polynomial are perfect square or not.

Answer 1

Answer :

Given that,

f (x) = x² + 2 + 1/x²

= x² + 2 (x) (1/x) + (1/x)²

= (x + 1/x)²,

which is a perfect square.

Identity Rule :

(a + b)² = a² + 2ab + b²

#MarkAsBrainliest

Answer 2

Solution :

Let p(x) = x² + 2 + 1/x²

= x² + 2*x*1/x + 1/x²
_______________________
We know the algebraic identity:

a² + 2ab + b² = ( a + b )²
________________________

= ( x + 1/x )²

= perfect square

Therefore,

p(x) is a perfect square.

•••••